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Finding the Fourth Proportional to 57.36, 86.14 and 42.24

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Solution

The fourth proportional to 57.36, 86.14 and 42.24 is: 63.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.36 : 86.14 = 42.24 : x
  2. Step 2: Convert to fraction form
    57.36/86.14 = 42.24/x
  3. Step 3: Cross multiply
    57.36x = 86.14 × 42.24
  4. Step 4: Simplify right side
    57.36x = 3,638.55
  5. Step 5: Solve for x
    x = 3,638.55/57.36
  6. Step 6: Final answer
    x = 63.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.